Finding the Third Proportional to 49,588 and 109,004

Step by Step Solution

1. Step 1: Write the proportion equation
   49,588 : 109,004 = 109,004 : x
2. Step 2: Convert to fraction form
   49,588/109,004 = 109,004/x
3. Step 3: Cross multiply
   49,588x = 109,004 × 109,004
4. Step 4: Simplify right side
   49,588x = 11,881,872,016
5. Step 5: Solve for x
   x = 11,881,872,016/49,588
6. Step 6: Final answer
   x = 239,611.84